Abstract:
The localization of level lines of harmonic functions representing real parts of certain abelian integrals is studied in the paper. Harmonic functions of such form appear in the the study of asymptotics of solutions to second-order differential equations; the corresponding level lines relate to the distribution of eigenvalues of a non-selfadjoint Sturm–Liouville problem and to position of trajectories of the corresponding quadratic differentials.
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